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1 . Let

A

be a set of 7 elements and let

B

be a set of 15 elements. How many one-to-one (i.e., injective) functions

f : A \to B

are there?

(a)

9 \cdot 10 \cdot 11 \cdot 12 \cdot 13 \cdot 14

(b)

10 \cdot 11 \cdot 12 \cdot 13 \cdot 14 \cdot 15

(c)

8 \cdot 9 \cdot 10 \cdot 11 \cdot 12 \cdot 13 \cdot 14 \cdot 15

(d)

9 \cdot 10 \cdot 11 \cdot 12 \cdot 13 \cdot 14 \cdot 15